Details

Time bar (total: 5.0s)

sample34.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
11.0ms217×body80nan

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b
(* 3.0 (* v v))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
26×associate-*l*
22×add-exp-log times-frac add-cbrt-cube
20×add-cube-cbrt *-un-lft-identity
18×frac-times
17×sqrt-prod
16×sqrt-div
15×pow1
14×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
3×*-commutative add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
1×div-inv difference-of-squares
Counts
3 → 113
Calls
3 calls:
25.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
19.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
8.0ms
(* 3.0 (* v v))

series521.0ms

Counts
3 → 9
Calls
3 calls:
304.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
193.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms
(* 3.0 (* v v))

simplify89.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07641460
134501374
250021372

prune255.0ms

Filtered
122 candidates to 84 candidates (68.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1202122
Fresh000
Picked101
Done000
Total1212123

Merged error: 0b

Counts
123 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
0.2b
(* 3.0 (* v v))
1.0b
(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
25×associate-*l*
22×add-cube-cbrt *-un-lft-identity times-frac
20×add-exp-log add-cbrt-cube
17×sqrt-prod
14×pow1
12×sqrt-div
10×cube-div
8×cbrt-prod
7×associate-*r* prod-exp cbrt-unprod unswap-sqr
6×frac-times flip3-- associate-*r/ flip--
5×cbrt-div pow-prod-down
4×add-log-exp
3×pow-unpow associate-*l/ pow-exp rem-cube-cbrt
2×cbrt-undiv cube-mult unpow-prod-down pow-pow unpow3 cube-prod div-exp *-commutative sqr-pow
1×pow-to-exp pow1/3 rem-cbrt-cube div-inv
Counts
4 → 122
Calls
4 calls:
11.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
5.0ms
(* 3.0 (* v v))
9.0ms
(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

series865.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
169.0ms
(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
24.0ms
(* 3.0 (* v v))
467.0ms
(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

simplify84.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06361315
128421290
250021286

prune329.0ms

Filtered
134 candidates to 95 candidates (70.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1340134
Fresh011
Picked011
Done000
Total1342136

Merged error: 0b

Counts
136 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b
(* (* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
0.2b
(* 3.0 (* v v))
1.0b
(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
87×sqrt-div
77×sqrt-prod
60×frac-times
58×add-sqr-sqrt
54×associate-*l*
40×times-frac associate-*r/
36×add-cube-cbrt *-un-lft-identity
30×pow1 flip3-- flip--
25×add-exp-log add-cbrt-cube
24×associate-*l/
19×pow-prod-down
13×prod-exp cbrt-unprod
12×associate-*r*
9×unswap-sqr
5×sqrt-pow1 pow1/2
4×*-commutative add-log-exp
3×sqrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in div-inv
1×difference-of-squares
Counts
4 → 192
Calls
4 calls:
12.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms
(* (* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
5.0ms
(* 3.0 (* v v))
18.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))

series932.0ms

Counts
4 → 12
Calls
4 calls:
261.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))
399.0ms
(* (* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
25.0ms
(* 3.0 (* v v))
247.0ms
(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify64.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
011353041
150022787

prune504.0ms

Filtered
204 candidates to 144 candidates (70.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2040204
Fresh000
Picked011
Done011
Total2042206

Merged error: 0b

Counts
206 → 2

regimes27.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample978.0ms

Algorithm
intervals
Results
406.0ms8000×body80valid
394.0ms7992×body80nan

Profiling

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